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Finding the Fourth Proportional to 631.22, 941.66 and 614.24

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Solution

The fourth proportional to 631.22, 941.66 and 614.24 is: 916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.22 : 941.66 = 614.24 : x
  2. Step 2: Convert to fraction form
    631.22/941.66 = 614.24/x
  3. Step 3: Cross multiply
    631.22x = 941.66 × 614.24
  4. Step 4: Simplify right side
    631.22x = 578,405.24
  5. Step 5: Solve for x
    x = 578,405.24/631.22
  6. Step 6: Final answer
    x = 916.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.